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226748400 = 24352188957
BaseRepresentation
bin11011000001111…
…10011111110000
3120210200000022220
431200332133300
5431021422100
634300001040
75422221024
oct1540763760
9523600286
10226748400
11106aa247a
1263b30180
1337c91268
1422186384
1514d8eaa0
hexd83e7f0

226748400 has 60 divisors (see below), whose sum is σ = 726354552. Its totient is φ = 60465920.

The previous prime is 226748359. The next prime is 226748443. The reversal of 226748400 is 4847622.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93279 + ... + 95678.

Almost surely, 2226748400 is an apocalyptic number.

226748400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226748400 is an abundant number, since it is smaller than the sum of its proper divisors (499606152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226748400 is a wasteful number, since it uses less digits than its factorization.

226748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188978 (or 188967 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 226748400 is about 15058.1672191539. The cubic root of 226748400 is about 609.7915618580.

The spelling of 226748400 in words is "two hundred twenty-six million, seven hundred forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 188957 377914 566871 755828 944785 1133742 1511656 1889570 2267484 2834355 3023312 3779140 4534968 4723925 5668710 7558280 9069936 9447850 11337420 14171775 15116560 18895700 22674840 28343550 37791400 45349680 56687100 75582800 113374200 226748400